What is the Greatest Common Factor of 59076 and 59080?

Greatest common factor (GCF) of 59076 and 59080 is 4.

GCF(59076,59080) = 4

We will now calculate the prime factors of 59076 and 59080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59076 and 59080.

How to find the GCF of 59076 and 59080?

We will first find the prime factorization of 59076 and 59080. After we will calculate the factors of 59076 and 59080 and find the biggest common factor number .

Step-1: Prime Factorization of 59076

Prime factors of 59076 are 2, 3, 547. Prime factorization of 59076 in exponential form is:

59076 = 2² × 3³ × 547¹

Step-2: Prime Factorization of 59080

Prime factors of 59080 are 2, 5, 7, 211. Prime factorization of 59080 in exponential form is:

59080 = 2³ × 5¹ × 7¹ × 211¹

Step-3: Factors of 59076

List of positive integer factors of 59076 that divides 59076 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 547, 1094, 1641, 2188, 3282, 4923, 6564, 9846, 14769, 19692, 29538

Step-4: Factors of 59080

List of positive integer factors of 59080 that divides 59076 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 211, 280, 422, 844, 1055, 1477, 1688, 2110, 2954, 4220, 5908, 7385, 8440, 11816, 14770, 29540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59076 and 59080. The biggest common factor number is the GCF number.
So the greatest common factor 59076 and 59080 is 4.

Also check out the Least Common Multiple of 59076 and 59080