What is the Greatest Common Factor of 77945 and 77962?

Greatest common factor (GCF) of 77945 and 77962 is 17.

GCF(77945,77962) = 17

We will now calculate the prime factors of 77945 and 77962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77945 and 77962.

How to find the GCF of 77945 and 77962?

We will first find the prime factorization of 77945 and 77962. After we will calculate the factors of 77945 and 77962 and find the biggest common factor number .

Step-1: Prime Factorization of 77945

Prime factors of 77945 are 5, 7, 17, 131. Prime factorization of 77945 in exponential form is:

77945 = 5¹ × 7¹ × 17¹ × 131¹

Step-2: Prime Factorization of 77962

Prime factors of 77962 are 2, 17, 2293. Prime factorization of 77962 in exponential form is:

77962 = 2¹ × 17¹ × 2293¹

Step-3: Factors of 77945

List of positive integer factors of 77945 that divides 77945 without a remainder.

1, 5, 7, 17, 35, 85, 119, 131, 595, 655, 917, 2227, 4585, 11135, 15589

Step-4: Factors of 77962

List of positive integer factors of 77962 that divides 77945 without a remainder.

1, 2, 17, 34, 2293, 4586, 38981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77945 and 77962. The biggest common factor number is the GCF number.
So the greatest common factor 77945 and 77962 is 17.

Also check out the Least Common Multiple of 77945 and 77962