What is the Greatest Common Factor of 77574 and 77584?

Greatest common factor (GCF) of 77574 and 77584 is 2.

GCF(77574,77584) = 2

We will now calculate the prime factors of 77574 and 77584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77574 and 77584.

How to find the GCF of 77574 and 77584?

We will first find the prime factorization of 77574 and 77584. After we will calculate the factors of 77574 and 77584 and find the biggest common factor number .

Step-1: Prime Factorization of 77574

Prime factors of 77574 are 2, 3, 7, 1847. Prime factorization of 77574 in exponential form is:

77574 = 2¹ × 3¹ × 7¹ × 1847¹

Step-2: Prime Factorization of 77584

Prime factors of 77584 are 2, 13, 373. Prime factorization of 77584 in exponential form is:

77584 = 2⁴ × 13¹ × 373¹

Step-3: Factors of 77574

List of positive integer factors of 77574 that divides 77574 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1847, 3694, 5541, 11082, 12929, 25858, 38787

Step-4: Factors of 77584

List of positive integer factors of 77584 that divides 77574 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 373, 746, 1492, 2984, 4849, 5968, 9698, 19396, 38792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77574 and 77584. The biggest common factor number is the GCF number.
So the greatest common factor 77574 and 77584 is 2.

Also check out the Least Common Multiple of 77574 and 77584