What is the Greatest Common Factor of 97712 and 97722?

Greatest common factor (GCF) of 97712 and 97722 is 2.

GCF(97712,97722) = 2

We will now calculate the prime factors of 97712 and 97722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97712 and 97722.

How to find the GCF of 97712 and 97722?

We will first find the prime factorization of 97712 and 97722. After we will calculate the factors of 97712 and 97722 and find the biggest common factor number .

Step-1: Prime Factorization of 97712

Prime factors of 97712 are 2, 31, 197. Prime factorization of 97712 in exponential form is:

97712 = 2⁴ × 31¹ × 197¹

Step-2: Prime Factorization of 97722

Prime factors of 97722 are 2, 3, 61, 89. Prime factorization of 97722 in exponential form is:

97722 = 2¹ × 3² × 61¹ × 89¹

Step-3: Factors of 97712

List of positive integer factors of 97712 that divides 97712 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 197, 248, 394, 496, 788, 1576, 3152, 6107, 12214, 24428, 48856

Step-4: Factors of 97722

List of positive integer factors of 97722 that divides 97712 without a remainder.

1, 2, 3, 6, 9, 18, 61, 89, 122, 178, 183, 267, 366, 534, 549, 801, 1098, 1602, 5429, 10858, 16287, 32574, 48861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97712 and 97722. The biggest common factor number is the GCF number.
So the greatest common factor 97712 and 97722 is 2.

Also check out the Least Common Multiple of 97712 and 97722