What is the Greatest Common Factor of 89960 and 89972?

Greatest common factor (GCF) of 89960 and 89972 is 4.

GCF(89960,89972) = 4

We will now calculate the prime factors of 89960 and 89972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89960 and 89972.

How to find the GCF of 89960 and 89972?

We will first find the prime factorization of 89960 and 89972. After we will calculate the factors of 89960 and 89972 and find the biggest common factor number .

Step-1: Prime Factorization of 89960

Prime factors of 89960 are 2, 5, 13, 173. Prime factorization of 89960 in exponential form is:

89960 = 2³ × 5¹ × 13¹ × 173¹

Step-2: Prime Factorization of 89972

Prime factors of 89972 are 2, 83, 271. Prime factorization of 89972 in exponential form is:

89972 = 2² × 83¹ × 271¹

Step-3: Factors of 89960

List of positive integer factors of 89960 that divides 89960 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 173, 260, 346, 520, 692, 865, 1384, 1730, 2249, 3460, 4498, 6920, 8996, 11245, 17992, 22490, 44980

Step-4: Factors of 89972

List of positive integer factors of 89972 that divides 89960 without a remainder.

1, 2, 4, 83, 166, 271, 332, 542, 1084, 22493, 44986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89960 and 89972. The biggest common factor number is the GCF number.
So the greatest common factor 89960 and 89972 is 4.

Also check out the Least Common Multiple of 89960 and 89972