What is the Greatest Common Factor of 97450 and 97464?

Greatest common factor (GCF) of 97450 and 97464 is 2.

GCF(97450,97464) = 2

We will now calculate the prime factors of 97450 and 97464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97450 and 97464.

How to find the GCF of 97450 and 97464?

We will first find the prime factorization of 97450 and 97464. After we will calculate the factors of 97450 and 97464 and find the biggest common factor number .

Step-1: Prime Factorization of 97450

Prime factors of 97450 are 2, 5, 1949. Prime factorization of 97450 in exponential form is:

97450 = 2¹ × 5² × 1949¹

Step-2: Prime Factorization of 97464

Prime factors of 97464 are 2, 3, 31, 131. Prime factorization of 97464 in exponential form is:

97464 = 2³ × 3¹ × 31¹ × 131¹

Step-3: Factors of 97450

List of positive integer factors of 97450 that divides 97450 without a remainder.

1, 2, 5, 10, 25, 50, 1949, 3898, 9745, 19490, 48725

Step-4: Factors of 97464

List of positive integer factors of 97464 that divides 97450 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 131, 186, 248, 262, 372, 393, 524, 744, 786, 1048, 1572, 3144, 4061, 8122, 12183, 16244, 24366, 32488, 48732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97450 and 97464. The biggest common factor number is the GCF number.
So the greatest common factor 97450 and 97464 is 2.

Also check out the Least Common Multiple of 97450 and 97464