What is the Greatest Common Factor of 97435 and 97455?

Greatest common factor (GCF) of 97435 and 97455 is 5.

GCF(97435,97455) = 5

We will now calculate the prime factors of 97435 and 97455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97435 and 97455.

How to find the GCF of 97435 and 97455?

We will first find the prime factorization of 97435 and 97455. After we will calculate the factors of 97435 and 97455 and find the biggest common factor number .

Step-1: Prime Factorization of 97435

Prime factors of 97435 are 5, 13, 1499. Prime factorization of 97435 in exponential form is:

97435 = 5¹ × 13¹ × 1499¹

Step-2: Prime Factorization of 97455

Prime factors of 97455 are 3, 5, 73, 89. Prime factorization of 97455 in exponential form is:

97455 = 3¹ × 5¹ × 73¹ × 89¹

Step-3: Factors of 97435

List of positive integer factors of 97435 that divides 97435 without a remainder.

1, 5, 13, 65, 1499, 7495, 19487

Step-4: Factors of 97455

List of positive integer factors of 97455 that divides 97435 without a remainder.

1, 3, 5, 15, 73, 89, 219, 267, 365, 445, 1095, 1335, 6497, 19491, 32485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97435 and 97455. The biggest common factor number is the GCF number.
So the greatest common factor 97435 and 97455 is 5.

Also check out the Least Common Multiple of 97435 and 97455