What is the Greatest Common Factor of 97762 and 97780?

Greatest common factor (GCF) of 97762 and 97780 is 2.

GCF(97762,97780) = 2

We will now calculate the prime factors of 97762 and 97780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97762 and 97780.

How to find the GCF of 97762 and 97780?

We will first find the prime factorization of 97762 and 97780. After we will calculate the factors of 97762 and 97780 and find the biggest common factor number .

Step-1: Prime Factorization of 97762

Prime factors of 97762 are 2, 7, 6983. Prime factorization of 97762 in exponential form is:

97762 = 2¹ × 7¹ × 6983¹

Step-2: Prime Factorization of 97780

Prime factors of 97780 are 2, 5, 4889. Prime factorization of 97780 in exponential form is:

97780 = 2² × 5¹ × 4889¹

Step-3: Factors of 97762

List of positive integer factors of 97762 that divides 97762 without a remainder.

1, 2, 7, 14, 6983, 13966, 48881

Step-4: Factors of 97780

List of positive integer factors of 97780 that divides 97762 without a remainder.

1, 2, 4, 5, 10, 20, 4889, 9778, 19556, 24445, 48890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97762 and 97780. The biggest common factor number is the GCF number.
So the greatest common factor 97762 and 97780 is 2.

Also check out the Least Common Multiple of 97762 and 97780