What is the Greatest Common Factor of 518 and 534?
Greatest common factor (GCF) of 518 and 534 is 2.
GCF(518,534) = 2
We will now calculate the prime factors of 518 and 534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 518 and 534.
How to find the GCF of 518 and 534?
We will first find the prime factorization of 518 and 534. After we will calculate the factors of 518 and 534 and find the biggest common factor number .
Step-1: Prime Factorization of 518
Prime factors of 518 are 2, 7, 37. Prime factorization of 518 in exponential form is:
518 = 21 × 71 × 371
Step-2: Prime Factorization of 534
Prime factors of 534 are 2, 3, 89. Prime factorization of 534 in exponential form is:
534 = 21 × 31 × 891
Step-3: Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259
Step-4: Factors of 534
List of positive integer factors of 534 that divides 518 without a remainder.
1, 2, 3, 6, 89, 178, 267
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 518 and 534. The biggest common factor number is the GCF number.
So the greatest common factor 518 and 534 is 2.
Also check out the Least Common Multiple of 518 and 534
Related Greatest Common Factors of 518
- GCF of 518 and 522
- GCF of 518 and 523
- GCF of 518 and 524
- GCF of 518 and 525
- GCF of 518 and 526
- GCF of 518 and 527
- GCF of 518 and 528
- GCF of 518 and 529
- GCF of 518 and 530
- GCF of 518 and 531
- GCF of 518 and 532
- GCF of 518 and 533
- GCF of 518 and 534
- GCF of 518 and 535
- GCF of 518 and 536
- GCF of 518 and 537
- GCF of 518 and 538
Related Greatest Common Factors of 534
- GCF of 534 and 538
- GCF of 534 and 539
- GCF of 534 and 540
- GCF of 534 and 541
- GCF of 534 and 542
- GCF of 534 and 543
- GCF of 534 and 544
- GCF of 534 and 545
- GCF of 534 and 546
- GCF of 534 and 547
- GCF of 534 and 548
- GCF of 534 and 549
- GCF of 534 and 550
- GCF of 534 and 551
- GCF of 534 and 552
- GCF of 534 and 553
- GCF of 534 and 554