What is the Greatest Common Factor of 62776 and 62784?

Greatest common factor (GCF) of 62776 and 62784 is 8.

GCF(62776,62784) = 8

We will now calculate the prime factors of 62776 and 62784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62776 and 62784.

How to find the GCF of 62776 and 62784?

We will first find the prime factorization of 62776 and 62784. After we will calculate the factors of 62776 and 62784 and find the biggest common factor number .

Step-1: Prime Factorization of 62776

Prime factors of 62776 are 2, 7, 19, 59. Prime factorization of 62776 in exponential form is:

62776 = 2³ × 7¹ × 19¹ × 59¹

Step-2: Prime Factorization of 62784

Prime factors of 62784 are 2, 3, 109. Prime factorization of 62784 in exponential form is:

62784 = 2⁶ × 3² × 109¹

Step-3: Factors of 62776

List of positive integer factors of 62776 that divides 62776 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 59, 76, 118, 133, 152, 236, 266, 413, 472, 532, 826, 1064, 1121, 1652, 2242, 3304, 4484, 7847, 8968, 15694, 31388

Step-4: Factors of 62784

List of positive integer factors of 62784 that divides 62776 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 109, 144, 192, 218, 288, 327, 436, 576, 654, 872, 981, 1308, 1744, 1962, 2616, 3488, 3924, 5232, 6976, 7848, 10464, 15696, 20928, 31392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62776 and 62784. The biggest common factor number is the GCF number.
So the greatest common factor 62776 and 62784 is 8.

Also check out the Least Common Multiple of 62776 and 62784