What is the Greatest Common Factor of 77290 and 77300?

Greatest common factor (GCF) of 77290 and 77300 is 10.

GCF(77290,77300) = 10

We will now calculate the prime factors of 77290 and 77300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77290 and 77300.

How to find the GCF of 77290 and 77300?

We will first find the prime factorization of 77290 and 77300. After we will calculate the factors of 77290 and 77300 and find the biggest common factor number .

Step-1: Prime Factorization of 77290

Prime factors of 77290 are 2, 5, 59, 131. Prime factorization of 77290 in exponential form is:

77290 = 2¹ × 5¹ × 59¹ × 131¹

Step-2: Prime Factorization of 77300

Prime factors of 77300 are 2, 5, 773. Prime factorization of 77300 in exponential form is:

77300 = 2² × 5² × 773¹

Step-3: Factors of 77290

List of positive integer factors of 77290 that divides 77290 without a remainder.

1, 2, 5, 10, 59, 118, 131, 262, 295, 590, 655, 1310, 7729, 15458, 38645

Step-4: Factors of 77300

List of positive integer factors of 77300 that divides 77290 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 773, 1546, 3092, 3865, 7730, 15460, 19325, 38650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77290 and 77300. The biggest common factor number is the GCF number.
So the greatest common factor 77290 and 77300 is 10.

Also check out the Least Common Multiple of 77290 and 77300