What is the Greatest Common Factor of 70497 and 70504?

Greatest common factor (GCF) of 70497 and 70504 is 7.

GCF(70497,70504) = 7

We will now calculate the prime factors of 70497 and 70504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70497 and 70504.

How to find the GCF of 70497 and 70504?

We will first find the prime factorization of 70497 and 70504. After we will calculate the factors of 70497 and 70504 and find the biggest common factor number .

Step-1: Prime Factorization of 70497

Prime factors of 70497 are 3, 7, 373. Prime factorization of 70497 in exponential form is:

70497 = 3³ × 7¹ × 373¹

Step-2: Prime Factorization of 70504

Prime factors of 70504 are 2, 7, 1259. Prime factorization of 70504 in exponential form is:

70504 = 2³ × 7¹ × 1259¹

Step-3: Factors of 70497

List of positive integer factors of 70497 that divides 70497 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 373, 1119, 2611, 3357, 7833, 10071, 23499

Step-4: Factors of 70504

List of positive integer factors of 70504 that divides 70497 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1259, 2518, 5036, 8813, 10072, 17626, 35252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70497 and 70504. The biggest common factor number is the GCF number.
So the greatest common factor 70497 and 70504 is 7.

Also check out the Least Common Multiple of 70497 and 70504