What is the Greatest Common Factor of 77290 and 77298?

Greatest common factor (GCF) of 77290 and 77298 is 2.

GCF(77290,77298) = 2

We will now calculate the prime factors of 77290 and 77298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77290 and 77298.

How to find the GCF of 77290 and 77298?

We will first find the prime factorization of 77290 and 77298. After we will calculate the factors of 77290 and 77298 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 77298

Prime factors of 77298 are 2, 3, 13, 991. Prime factorization of 77298 in exponential form is:

77298 = 2¹ × 3¹ × 13¹ × 991¹

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 77298

List of positive integer factors of 77298 that divides 77290 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 991, 1982, 2973, 5946, 12883, 25766, 38649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77290 and 77298. The biggest common factor number is the GCF number.
So the greatest common factor 77290 and 77298 is 2.

Also check out the Least Common Multiple of 77290 and 77298