What is the Greatest Common Factor of 77435 and 77452?

Greatest common factor (GCF) of 77435 and 77452 is 17.

GCF(77435,77452) = 17

We will now calculate the prime factors of 77435 and 77452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77435 and 77452.

How to find the GCF of 77435 and 77452?

We will first find the prime factorization of 77435 and 77452. After we will calculate the factors of 77435 and 77452 and find the biggest common factor number .

Step-1: Prime Factorization of 77435

Prime factors of 77435 are 5, 17, 911. Prime factorization of 77435 in exponential form is:

77435 = 5¹ × 17¹ × 911¹

Step-2: Prime Factorization of 77452

Prime factors of 77452 are 2, 17, 67. Prime factorization of 77452 in exponential form is:

77452 = 2² × 17² × 67¹

Step-3: Factors of 77435

List of positive integer factors of 77435 that divides 77435 without a remainder.

1, 5, 17, 85, 911, 4555, 15487

Step-4: Factors of 77452

List of positive integer factors of 77452 that divides 77435 without a remainder.

1, 2, 4, 17, 34, 67, 68, 134, 268, 289, 578, 1139, 1156, 2278, 4556, 19363, 38726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77435 and 77452. The biggest common factor number is the GCF number.
So the greatest common factor 77435 and 77452 is 17.

Also check out the Least Common Multiple of 77435 and 77452