What is the Greatest Common Factor of 97048 and 97064?

Greatest common factor (GCF) of 97048 and 97064 is 8.

GCF(97048,97064) = 8

We will now calculate the prime factors of 97048 and 97064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97048 and 97064.

How to find the GCF of 97048 and 97064?

We will first find the prime factorization of 97048 and 97064. After we will calculate the factors of 97048 and 97064 and find the biggest common factor number .

Step-1: Prime Factorization of 97048

Prime factors of 97048 are 2, 7, 1733. Prime factorization of 97048 in exponential form is:

97048 = 2³ × 7¹ × 1733¹

Step-2: Prime Factorization of 97064

Prime factors of 97064 are 2, 11, 1103. Prime factorization of 97064 in exponential form is:

97064 = 2³ × 11¹ × 1103¹

Step-3: Factors of 97048

List of positive integer factors of 97048 that divides 97048 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1733, 3466, 6932, 12131, 13864, 24262, 48524

Step-4: Factors of 97064

List of positive integer factors of 97064 that divides 97048 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1103, 2206, 4412, 8824, 12133, 24266, 48532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97048 and 97064. The biggest common factor number is the GCF number.
So the greatest common factor 97048 and 97064 is 8.

Also check out the Least Common Multiple of 97048 and 97064