What is the Greatest Common Factor of 62152 and 62172?

Greatest common factor (GCF) of 62152 and 62172 is 4.

GCF(62152,62172) = 4

We will now calculate the prime factors of 62152 and 62172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62152 and 62172.

How to find the GCF of 62152 and 62172?

We will first find the prime factorization of 62152 and 62172. After we will calculate the factors of 62152 and 62172 and find the biggest common factor number .

Step-1: Prime Factorization of 62152

Prime factors of 62152 are 2, 17, 457. Prime factorization of 62152 in exponential form is:

62152 = 2³ × 17¹ × 457¹

Step-2: Prime Factorization of 62172

Prime factors of 62172 are 2, 3, 11, 157. Prime factorization of 62172 in exponential form is:

62172 = 2² × 3² × 11¹ × 157¹

Step-3: Factors of 62152

List of positive integer factors of 62152 that divides 62152 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 457, 914, 1828, 3656, 7769, 15538, 31076

Step-4: Factors of 62172

List of positive integer factors of 62172 that divides 62152 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 157, 198, 314, 396, 471, 628, 942, 1413, 1727, 1884, 2826, 3454, 5181, 5652, 6908, 10362, 15543, 20724, 31086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62152 and 62172. The biggest common factor number is the GCF number.
So the greatest common factor 62152 and 62172 is 4.

Also check out the Least Common Multiple of 62152 and 62172