What is the Greatest Common Factor of 59910 and 59920?

Greatest common factor (GCF) of 59910 and 59920 is 10.

GCF(59910,59920) = 10

We will now calculate the prime factors of 59910 and 59920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59910 and 59920.

How to find the GCF of 59910 and 59920?

We will first find the prime factorization of 59910 and 59920. After we will calculate the factors of 59910 and 59920 and find the biggest common factor number .

Step-1: Prime Factorization of 59910

Prime factors of 59910 are 2, 3, 5, 1997. Prime factorization of 59910 in exponential form is:

59910 = 2¹ × 3¹ × 5¹ × 1997¹

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 59910

List of positive integer factors of 59910 that divides 59910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1997, 3994, 5991, 9985, 11982, 19970, 29955

Step-4: Factors of 59920

List of positive integer factors of 59920 that divides 59910 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 59910 and 59920. The biggest common factor number is the GCF number.
So the greatest common factor 59910 and 59920 is 10.

Also check out the Least Common Multiple of 59910 and 59920