What is the Greatest Common Factor of 97032 and 97052?

Greatest common factor (GCF) of 97032 and 97052 is 4.

GCF(97032,97052) = 4

We will now calculate the prime factors of 97032 and 97052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97032 and 97052.

How to find the GCF of 97032 and 97052?

We will first find the prime factorization of 97032 and 97052. After we will calculate the factors of 97032 and 97052 and find the biggest common factor number .

Step-1: Prime Factorization of 97032

Prime factors of 97032 are 2, 3, 13, 311. Prime factorization of 97032 in exponential form is:

97032 = 2³ × 3¹ × 13¹ × 311¹

Step-2: Prime Factorization of 97052

Prime factors of 97052 are 2, 19, 1277. Prime factorization of 97052 in exponential form is:

97052 = 2² × 19¹ × 1277¹

Step-3: Factors of 97032

List of positive integer factors of 97032 that divides 97032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 311, 312, 622, 933, 1244, 1866, 2488, 3732, 4043, 7464, 8086, 12129, 16172, 24258, 32344, 48516

Step-4: Factors of 97052

List of positive integer factors of 97052 that divides 97032 without a remainder.

1, 2, 4, 19, 38, 76, 1277, 2554, 5108, 24263, 48526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97032 and 97052. The biggest common factor number is the GCF number.
So the greatest common factor 97032 and 97052 is 4.

Also check out the Least Common Multiple of 97032 and 97052