What is the Greatest Common Factor of 59920 and 59936?

Greatest common factor (GCF) of 59920 and 59936 is 16.

GCF(59920,59936) = 16

We will now calculate the prime factors of 59920 and 59936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59920 and 59936.

How to find the GCF of 59920 and 59936?

We will first find the prime factorization of 59920 and 59936. After we will calculate the factors of 59920 and 59936 and find the biggest common factor number .

Step-1: Prime Factorization of 59920

Prime factors of 59920 are 2, 5, 7, 107. Prime factorization of 59920 in exponential form is:

59920 = 2⁴ × 5¹ × 7¹ × 107¹

Step-2: Prime Factorization of 59936

Prime factors of 59936 are 2, 1873. Prime factorization of 59936 in exponential form is:

59936 = 2⁵ × 1873¹

Step-3: Factors of 59920

List of positive integer factors of 59920 that divides 59920 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 107, 112, 140, 214, 280, 428, 535, 560, 749, 856, 1070, 1498, 1712, 2140, 2996, 3745, 4280, 5992, 7490, 8560, 11984, 14980, 29960

Step-4: Factors of 59936

List of positive integer factors of 59936 that divides 59920 without a remainder.

1, 2, 4, 8, 16, 32, 1873, 3746, 7492, 14984, 29968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59920 and 59936. The biggest common factor number is the GCF number.
So the greatest common factor 59920 and 59936 is 16.

Also check out the Least Common Multiple of 59920 and 59936