What is the Greatest Common Factor of 520 and 538?
Greatest common factor (GCF) of 520 and 538 is 2.
GCF(520,538) = 2
We will now calculate the prime factors of 520 and 538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 520 and 538.
How to find the GCF of 520 and 538?
We will first find the prime factorization of 520 and 538. After we will calculate the factors of 520 and 538 and find the biggest common factor number .
Step-1: Prime Factorization of 520
Prime factors of 520 are 2, 5, 13. Prime factorization of 520 in exponential form is:
520 = 23 × 51 × 131
Step-2: Prime Factorization of 538
Prime factors of 538 are 2, 269. Prime factorization of 538 in exponential form is:
538 = 21 × 2691
Step-3: Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260
Step-4: Factors of 538
List of positive integer factors of 538 that divides 520 without a remainder.
1, 2, 269
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 520 and 538. The biggest common factor number is the GCF number.
So the greatest common factor 520 and 538 is 2.
Also check out the Least Common Multiple of 520 and 538
Related Greatest Common Factors of 520
- GCF of 520 and 524
- GCF of 520 and 525
- GCF of 520 and 526
- GCF of 520 and 527
- GCF of 520 and 528
- GCF of 520 and 529
- GCF of 520 and 530
- GCF of 520 and 531
- GCF of 520 and 532
- GCF of 520 and 533
- GCF of 520 and 534
- GCF of 520 and 535
- GCF of 520 and 536
- GCF of 520 and 537
- GCF of 520 and 538
- GCF of 520 and 539
- GCF of 520 and 540
Related Greatest Common Factors of 538
- GCF of 538 and 542
- GCF of 538 and 543
- GCF of 538 and 544
- GCF of 538 and 545
- GCF of 538 and 546
- GCF of 538 and 547
- GCF of 538 and 548
- GCF of 538 and 549
- GCF of 538 and 550
- GCF of 538 and 551
- GCF of 538 and 552
- GCF of 538 and 553
- GCF of 538 and 554
- GCF of 538 and 555
- GCF of 538 and 556
- GCF of 538 and 557
- GCF of 538 and 558