What is the Greatest Common Factor of 88924 and 88932?

Greatest common factor (GCF) of 88924 and 88932 is 4.

GCF(88924,88932) = 4

We will now calculate the prime factors of 88924 and 88932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88924 and 88932.

How to find the GCF of 88924 and 88932?

We will first find the prime factorization of 88924 and 88932. After we will calculate the factors of 88924 and 88932 and find the biggest common factor number .

Step-1: Prime Factorization of 88924

Prime factors of 88924 are 2, 11, 43, 47. Prime factorization of 88924 in exponential form is:

88924 = 2² × 11¹ × 43¹ × 47¹

Step-2: Prime Factorization of 88932

Prime factors of 88932 are 2, 3, 7411. Prime factorization of 88932 in exponential form is:

88932 = 2² × 3¹ × 7411¹

Step-3: Factors of 88924

List of positive integer factors of 88924 that divides 88924 without a remainder.

1, 2, 4, 11, 22, 43, 44, 47, 86, 94, 172, 188, 473, 517, 946, 1034, 1892, 2021, 2068, 4042, 8084, 22231, 44462

Step-4: Factors of 88932

List of positive integer factors of 88932 that divides 88924 without a remainder.

1, 2, 3, 4, 6, 12, 7411, 14822, 22233, 29644, 44466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88924 and 88932. The biggest common factor number is the GCF number.
So the greatest common factor 88924 and 88932 is 4.

Also check out the Least Common Multiple of 88924 and 88932