What is the Greatest Common Factor of 59920 and 59930?

Greatest common factor (GCF) of 59920 and 59930 is 10.

GCF(59920,59930) = 10

We will now calculate the prime factors of 59920 and 59930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59920 and 59930.

How to find the GCF of 59920 and 59930?

We will first find the prime factorization of 59920 and 59930. After we will calculate the factors of 59920 and 59930 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 59930

Prime factors of 59930 are 2, 5, 13, 461. Prime factorization of 59930 in exponential form is:

59930 = 2¹ × 5¹ × 13¹ × 461¹

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 59930

List of positive integer factors of 59930 that divides 59920 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 461, 922, 2305, 4610, 5993, 11986, 29965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59920 and 59930. The biggest common factor number is the GCF number.
So the greatest common factor 59920 and 59930 is 10.

Also check out the Least Common Multiple of 59920 and 59930