What is the Greatest Common Factor of 59776 and 59790?

Greatest common factor (GCF) of 59776 and 59790 is 2.

GCF(59776,59790) = 2

We will now calculate the prime factors of 59776 and 59790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59776 and 59790.

How to find the GCF of 59776 and 59790?

We will first find the prime factorization of 59776 and 59790. After we will calculate the factors of 59776 and 59790 and find the biggest common factor number .

Step-1: Prime Factorization of 59776

Prime factors of 59776 are 2, 467. Prime factorization of 59776 in exponential form is:

59776 = 2⁷ × 467¹

Step-2: Prime Factorization of 59790

Prime factors of 59790 are 2, 3, 5, 1993. Prime factorization of 59790 in exponential form is:

59790 = 2¹ × 3¹ × 5¹ × 1993¹

Step-3: Factors of 59776

List of positive integer factors of 59776 that divides 59776 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 467, 934, 1868, 3736, 7472, 14944, 29888

Step-4: Factors of 59790

List of positive integer factors of 59790 that divides 59776 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1993, 3986, 5979, 9965, 11958, 19930, 29895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59776 and 59790. The biggest common factor number is the GCF number.
So the greatest common factor 59776 and 59790 is 2.

Also check out the Least Common Multiple of 59776 and 59790