What is the Greatest Common Factor of 59914 and 59920?

Greatest common factor (GCF) of 59914 and 59920 is 2.

GCF(59914,59920) = 2

We will now calculate the prime factors of 59914 and 59920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59914 and 59920.

How to find the GCF of 59914 and 59920?

We will first find the prime factorization of 59914 and 59920. After we will calculate the factors of 59914 and 59920 and find the biggest common factor number .

Step-1: Prime Factorization of 59914

Prime factors of 59914 are 2, 29, 1033. Prime factorization of 59914 in exponential form is:

59914 = 2¹ × 29¹ × 1033¹

Step-2: 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-3: Factors of 59914

List of positive integer factors of 59914 that divides 59914 without a remainder.

1, 2, 29, 58, 1033, 2066, 29957

Step-4: Factors of 59920

List of positive integer factors of 59920 that divides 59914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59914 and 59920. The biggest common factor number is the GCF number.
So the greatest common factor 59914 and 59920 is 2.

Also check out the Least Common Multiple of 59914 and 59920