What is the Greatest Common Factor of 59905 and 59920?

Greatest common factor (GCF) of 59905 and 59920 is 5.

GCF(59905,59920) = 5

We will now calculate the prime factors of 59905 and 59920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59905 and 59920.

How to find the GCF of 59905 and 59920?

We will first find the prime factorization of 59905 and 59920. After we will calculate the factors of 59905 and 59920 and find the biggest common factor number .

Step-1: Prime Factorization of 59905

Prime factors of 59905 are 5, 11981. Prime factorization of 59905 in exponential form is:

59905 = 5¹ × 11981¹

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 59905

List of positive integer factors of 59905 that divides 59905 without a remainder.

1, 5, 11981

Step-4: Factors of 59920

List of positive integer factors of 59920 that divides 59905 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 59905 and 59920. The biggest common factor number is the GCF number.
So the greatest common factor 59905 and 59920 is 5.

Also check out the Least Common Multiple of 59905 and 59920