What is the Greatest Common Factor of 89072 and 89080?

Greatest common factor (GCF) of 89072 and 89080 is 8.

GCF(89072,89080) = 8

We will now calculate the prime factors of 89072 and 89080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89072 and 89080.

How to find the GCF of 89072 and 89080?

We will first find the prime factorization of 89072 and 89080. After we will calculate the factors of 89072 and 89080 and find the biggest common factor number .

Step-1: Prime Factorization of 89072

Prime factors of 89072 are 2, 19, 293. Prime factorization of 89072 in exponential form is:

89072 = 2⁴ × 19¹ × 293¹

Step-2: Prime Factorization of 89080

Prime factors of 89080 are 2, 5, 17, 131. Prime factorization of 89080 in exponential form is:

89080 = 2³ × 5¹ × 17¹ × 131¹

Step-3: Factors of 89072

List of positive integer factors of 89072 that divides 89072 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 293, 304, 586, 1172, 2344, 4688, 5567, 11134, 22268, 44536

Step-4: Factors of 89080

List of positive integer factors of 89080 that divides 89072 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 131, 136, 170, 262, 340, 524, 655, 680, 1048, 1310, 2227, 2620, 4454, 5240, 8908, 11135, 17816, 22270, 44540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89072 and 89080. The biggest common factor number is the GCF number.
So the greatest common factor 89072 and 89080 is 8.

Also check out the Least Common Multiple of 89072 and 89080