What is the Greatest Common Factor of 88774 and 88792?

Greatest common factor (GCF) of 88774 and 88792 is 2.

GCF(88774,88792) = 2

We will now calculate the prime factors of 88774 and 88792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88774 and 88792.

How to find the GCF of 88774 and 88792?

We will first find the prime factorization of 88774 and 88792. After we will calculate the factors of 88774 and 88792 and find the biggest common factor number .

Step-1: Prime Factorization of 88774

Prime factors of 88774 are 2, 7, 17, 373. Prime factorization of 88774 in exponential form is:

88774 = 2¹ × 7¹ × 17¹ × 373¹

Step-2: Prime Factorization of 88792

Prime factors of 88792 are 2, 11, 1009. Prime factorization of 88792 in exponential form is:

88792 = 2³ × 11¹ × 1009¹

Step-3: Factors of 88774

List of positive integer factors of 88774 that divides 88774 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 373, 746, 2611, 5222, 6341, 12682, 44387

Step-4: Factors of 88792

List of positive integer factors of 88792 that divides 88774 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1009, 2018, 4036, 8072, 11099, 22198, 44396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88774 and 88792. The biggest common factor number is the GCF number.
So the greatest common factor 88774 and 88792 is 2.

Also check out the Least Common Multiple of 88774 and 88792