What is the Greatest Common Factor of 89063 and 89080?

Greatest common factor (GCF) of 89063 and 89080 is 17.

GCF(89063,89080) = 17

We will now calculate the prime factors of 89063 and 89080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89063 and 89080.

How to find the GCF of 89063 and 89080?

We will first find the prime factorization of 89063 and 89080. After we will calculate the factors of 89063 and 89080 and find the biggest common factor number .

Step-1: Prime Factorization of 89063

Prime factors of 89063 are 13, 17, 31. Prime factorization of 89063 in exponential form is:

89063 = 13² × 17¹ × 31¹

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 89063

List of positive integer factors of 89063 that divides 89063 without a remainder.

1, 13, 17, 31, 169, 221, 403, 527, 2873, 5239, 6851

Step-4: Factors of 89080

List of positive integer factors of 89080 that divides 89063 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 89063 and 89080. The biggest common factor number is the GCF number.
So the greatest common factor 89063 and 89080 is 17.

Also check out the Least Common Multiple of 89063 and 89080