What is the Greatest Common Factor of 59906 and 59920?

Greatest common factor (GCF) of 59906 and 59920 is 14.

GCF(59906,59920) = 14

We will now calculate the prime factors of 59906 and 59920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59906 and 59920.

How to find the GCF of 59906 and 59920?

We will first find the prime factorization of 59906 and 59920. After we will calculate the factors of 59906 and 59920 and find the biggest common factor number .

Step-1: Prime Factorization of 59906

Prime factors of 59906 are 2, 7, 11, 389. Prime factorization of 59906 in exponential form is:

59906 = 2¹ × 7¹ × 11¹ × 389¹

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 59906

List of positive integer factors of 59906 that divides 59906 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 389, 778, 2723, 4279, 5446, 8558, 29953

Step-4: Factors of 59920

List of positive integer factors of 59920 that divides 59906 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 59906 and 59920. The biggest common factor number is the GCF number.
So the greatest common factor 59906 and 59920 is 14.

Also check out the Least Common Multiple of 59906 and 59920