What is the Greatest Common Factor of 62288 and 62292?

Greatest common factor (GCF) of 62288 and 62292 is 4.

GCF(62288,62292) = 4

We will now calculate the prime factors of 62288 and 62292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62288 and 62292.

How to find the GCF of 62288 and 62292?

We will first find the prime factorization of 62288 and 62292. After we will calculate the factors of 62288 and 62292 and find the biggest common factor number .

Step-1: Prime Factorization of 62288

Prime factors of 62288 are 2, 17, 229. Prime factorization of 62288 in exponential form is:

62288 = 2⁴ × 17¹ × 229¹

Step-2: Prime Factorization of 62292

Prime factors of 62292 are 2, 3, 29, 179. Prime factorization of 62292 in exponential form is:

62292 = 2² × 3¹ × 29¹ × 179¹

Step-3: Factors of 62288

List of positive integer factors of 62288 that divides 62288 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 229, 272, 458, 916, 1832, 3664, 3893, 7786, 15572, 31144

Step-4: Factors of 62292

List of positive integer factors of 62292 that divides 62288 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 179, 348, 358, 537, 716, 1074, 2148, 5191, 10382, 15573, 20764, 31146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62288 and 62292. The biggest common factor number is the GCF number.
So the greatest common factor 62288 and 62292 is 4.

Also check out the Least Common Multiple of 62288 and 62292