What is the Greatest Common Factor of 59758 and 59776?

Greatest common factor (GCF) of 59758 and 59776 is 2.

GCF(59758,59776) = 2

We will now calculate the prime factors of 59758 and 59776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59758 and 59776.

How to find the GCF of 59758 and 59776?

We will first find the prime factorization of 59758 and 59776. After we will calculate the factors of 59758 and 59776 and find the biggest common factor number .

Step-1: Prime Factorization of 59758

Prime factors of 59758 are 2, 29879. Prime factorization of 59758 in exponential form is:

59758 = 2¹ × 29879¹

Step-2: Prime Factorization of 59776

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

59776 = 2⁷ × 467¹

Step-3: Factors of 59758

List of positive integer factors of 59758 that divides 59758 without a remainder.

1, 2, 29879

Step-4: Factors of 59776

List of positive integer factors of 59776 that divides 59758 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59758 and 59776. The biggest common factor number is the GCF number.
So the greatest common factor 59758 and 59776 is 2.

Also check out the Least Common Multiple of 59758 and 59776