What is the Greatest Common Factor of 97069 and 97076?

Greatest common factor (GCF) of 97069 and 97076 is 7.

GCF(97069,97076) = 7

We will now calculate the prime factors of 97069 and 97076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97069 and 97076.

How to find the GCF of 97069 and 97076?

We will first find the prime factorization of 97069 and 97076. After we will calculate the factors of 97069 and 97076 and find the biggest common factor number .

Step-1: Prime Factorization of 97069

Prime factors of 97069 are 7, 283. Prime factorization of 97069 in exponential form is:

97069 = 7³ × 283¹

Step-2: Prime Factorization of 97076

Prime factors of 97076 are 2, 7, 3467. Prime factorization of 97076 in exponential form is:

97076 = 2² × 7¹ × 3467¹

Step-3: Factors of 97069

List of positive integer factors of 97069 that divides 97069 without a remainder.

1, 7, 49, 283, 343, 1981, 13867

Step-4: Factors of 97076

List of positive integer factors of 97076 that divides 97069 without a remainder.

1, 2, 4, 7, 14, 28, 3467, 6934, 13868, 24269, 48538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97069 and 97076. The biggest common factor number is the GCF number.
So the greatest common factor 97069 and 97076 is 7.

Also check out the Least Common Multiple of 97069 and 97076