What is the Greatest Common Factor of 59720 and 59740?

Greatest common factor (GCF) of 59720 and 59740 is 20.

GCF(59720,59740) = 20

We will now calculate the prime factors of 59720 and 59740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59720 and 59740.

How to find the GCF of 59720 and 59740?

We will first find the prime factorization of 59720 and 59740. After we will calculate the factors of 59720 and 59740 and find the biggest common factor number .

Step-1: Prime Factorization of 59720

Prime factors of 59720 are 2, 5, 1493. Prime factorization of 59720 in exponential form is:

59720 = 2³ × 5¹ × 1493¹

Step-2: Prime Factorization of 59740

Prime factors of 59740 are 2, 5, 29, 103. Prime factorization of 59740 in exponential form is:

59740 = 2² × 5¹ × 29¹ × 103¹

Step-3: Factors of 59720

List of positive integer factors of 59720 that divides 59720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1493, 2986, 5972, 7465, 11944, 14930, 29860

Step-4: Factors of 59740

List of positive integer factors of 59740 that divides 59720 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 103, 116, 145, 206, 290, 412, 515, 580, 1030, 2060, 2987, 5974, 11948, 14935, 29870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59720 and 59740. The biggest common factor number is the GCF number.
So the greatest common factor 59720 and 59740 is 20.

Also check out the Least Common Multiple of 59720 and 59740