What is the Greatest Common Factor of 526 and 546?
Greatest common factor (GCF) of 526 and 546 is 2.
GCF(526,546) = 2
We will now calculate the prime factors of 526 and 546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 526 and 546.
How to find the GCF of 526 and 546?
We will first find the prime factorization of 526 and 546. After we will calculate the factors of 526 and 546 and find the biggest common factor number .
Step-1: Prime Factorization of 526
Prime factors of 526 are 2, 263. Prime factorization of 526 in exponential form is:
526 = 21 × 2631
Step-2: Prime Factorization of 546
Prime factors of 546 are 2, 3, 7, 13. Prime factorization of 546 in exponential form is:
546 = 21 × 31 × 71 × 131
Step-3: Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1, 2, 263
Step-4: Factors of 546
List of positive integer factors of 546 that divides 526 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 526 and 546. The biggest common factor number is the GCF number.
So the greatest common factor 526 and 546 is 2.
Also check out the Least Common Multiple of 526 and 546
Related Greatest Common Factors of 526
- GCF of 526 and 530
- GCF of 526 and 531
- GCF of 526 and 532
- GCF of 526 and 533
- GCF of 526 and 534
- GCF of 526 and 535
- GCF of 526 and 536
- GCF of 526 and 537
- GCF of 526 and 538
- GCF of 526 and 539
- GCF of 526 and 540
- GCF of 526 and 541
- GCF of 526 and 542
- GCF of 526 and 543
- GCF of 526 and 544
- GCF of 526 and 545
- GCF of 526 and 546
Related Greatest Common Factors of 546
- GCF of 546 and 550
- GCF of 546 and 551
- GCF of 546 and 552
- GCF of 546 and 553
- GCF of 546 and 554
- GCF of 546 and 555
- GCF of 546 and 556
- GCF of 546 and 557
- GCF of 546 and 558
- GCF of 546 and 559
- GCF of 546 and 560
- GCF of 546 and 561
- GCF of 546 and 562
- GCF of 546 and 563
- GCF of 546 and 564
- GCF of 546 and 565
- GCF of 546 and 566