What is the Greatest Common Factor of 59272 and 59292?

Greatest common factor (GCF) of 59272 and 59292 is 4.

GCF(59272,59292) = 4

We will now calculate the prime factors of 59272 and 59292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59272 and 59292.

How to find the GCF of 59272 and 59292?

We will first find the prime factorization of 59272 and 59292. After we will calculate the factors of 59272 and 59292 and find the biggest common factor number .

Step-1: Prime Factorization of 59272

Prime factors of 59272 are 2, 31, 239. Prime factorization of 59272 in exponential form is:

59272 = 2³ × 31¹ × 239¹

Step-2: Prime Factorization of 59292

Prime factors of 59292 are 2, 3, 61. Prime factorization of 59292 in exponential form is:

59292 = 2² × 3⁵ × 61¹

Step-3: Factors of 59272

List of positive integer factors of 59272 that divides 59272 without a remainder.

1, 2, 4, 8, 31, 62, 124, 239, 248, 478, 956, 1912, 7409, 14818, 29636

Step-4: Factors of 59292

List of positive integer factors of 59292 that divides 59272 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 61, 81, 108, 122, 162, 183, 243, 244, 324, 366, 486, 549, 732, 972, 1098, 1647, 2196, 3294, 4941, 6588, 9882, 14823, 19764, 29646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59272 and 59292. The biggest common factor number is the GCF number.
So the greatest common factor 59272 and 59292 is 4.

Also check out the Least Common Multiple of 59272 and 59292