What is the Greatest Common Factor of 59408 and 59420?

Greatest common factor (GCF) of 59408 and 59420 is 4.

GCF(59408,59420) = 4

We will now calculate the prime factors of 59408 and 59420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59408 and 59420.

How to find the GCF of 59408 and 59420?

We will first find the prime factorization of 59408 and 59420. After we will calculate the factors of 59408 and 59420 and find the biggest common factor number .

Step-1: Prime Factorization of 59408

Prime factors of 59408 are 2, 47, 79. Prime factorization of 59408 in exponential form is:

59408 = 2⁴ × 47¹ × 79¹

Step-2: Prime Factorization of 59420

Prime factors of 59420 are 2, 5, 2971. Prime factorization of 59420 in exponential form is:

59420 = 2² × 5¹ × 2971¹

Step-3: Factors of 59408

List of positive integer factors of 59408 that divides 59408 without a remainder.

1, 2, 4, 8, 16, 47, 79, 94, 158, 188, 316, 376, 632, 752, 1264, 3713, 7426, 14852, 29704

Step-4: Factors of 59420

List of positive integer factors of 59420 that divides 59408 without a remainder.

1, 2, 4, 5, 10, 20, 2971, 5942, 11884, 14855, 29710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59408 and 59420. The biggest common factor number is the GCF number.
So the greatest common factor 59408 and 59420 is 4.

Also check out the Least Common Multiple of 59408 and 59420