What is the Greatest Common Factor of 89072 and 89076?

Greatest common factor (GCF) of 89072 and 89076 is 4.

GCF(89072,89076) = 4

We will now calculate the prime factors of 89072 and 89076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89072 and 89076.

How to find the GCF of 89072 and 89076?

We will first find the prime factorization of 89072 and 89076. After we will calculate the factors of 89072 and 89076 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 89076

Prime factors of 89076 are 2, 3, 13, 571. Prime factorization of 89076 in exponential form is:

89076 = 2² × 3¹ × 13¹ × 571¹

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 89076

List of positive integer factors of 89076 that divides 89072 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 571, 1142, 1713, 2284, 3426, 6852, 7423, 14846, 22269, 29692, 44538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89072 and 89076. The biggest common factor number is the GCF number.
So the greatest common factor 89072 and 89076 is 4.

Also check out the Least Common Multiple of 89072 and 89076