What is the Greatest Common Factor of 62776 and 62783?

Greatest common factor (GCF) of 62776 and 62783 is 7.

GCF(62776,62783) = 7

We will now calculate the prime factors of 62776 and 62783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62776 and 62783.

How to find the GCF of 62776 and 62783?

We will first find the prime factorization of 62776 and 62783. After we will calculate the factors of 62776 and 62783 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 62783

Prime factors of 62783 are 7, 8969. Prime factorization of 62783 in exponential form is:

62783 = 7¹ × 8969¹

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 62783

List of positive integer factors of 62783 that divides 62776 without a remainder.

1, 7, 8969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62776 and 62783. The biggest common factor number is the GCF number.
So the greatest common factor 62776 and 62783 is 7.

Also check out the Least Common Multiple of 62776 and 62783