What is the Greatest Common Factor of 77563 and 77574?

Greatest common factor (GCF) of 77563 and 77574 is 1.

GCF(77563,77574) = 1

We will now calculate the prime factors of 77563 and 77574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77563 and 77574.

How to find the GCF of 77563 and 77574?

We will first find the prime factorization of 77563 and 77574. After we will calculate the factors of 77563 and 77574 and find the biggest common factor number .

Step-1: Prime Factorization of 77563

Prime factors of 77563 are 77563. Prime factorization of 77563 in exponential form is:

77563 = 77563¹

Step-2: 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-3: Factors of 77563

List of positive integer factors of 77563 that divides 77563 without a remainder.

Step-4: Factors of 77574

List of positive integer factors of 77574 that divides 77563 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77563 and 77574. The biggest common factor number is the GCF number.
So the greatest common factor 77563 and 77574 is 1.

Also check out the Least Common Multiple of 77563 and 77574