What is the Greatest Common Factor of 70357 and 70361?

Greatest common factor (GCF) of 70357 and 70361 is 1.

GCF(70357,70361) = 1

We will now calculate the prime factors of 70357 and 70361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70357 and 70361.

How to find the GCF of 70357 and 70361?

We will first find the prime factorization of 70357 and 70361. After we will calculate the factors of 70357 and 70361 and find the biggest common factor number .

Step-1: Prime Factorization of 70357

Prime factors of 70357 are 7, 19, 23. Prime factorization of 70357 in exponential form is:

70357 = 7¹ × 19¹ × 23²

Step-2: Prime Factorization of 70361

Prime factors of 70361 are 71, 991. Prime factorization of 70361 in exponential form is:

70361 = 71¹ × 991¹

Step-3: Factors of 70357

List of positive integer factors of 70357 that divides 70357 without a remainder.

1, 7, 19, 23, 133, 161, 437, 529, 3059, 3703, 10051

Step-4: Factors of 70361

List of positive integer factors of 70361 that divides 70357 without a remainder.

1, 71, 991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70357 and 70361. The biggest common factor number is the GCF number.
So the greatest common factor 70357 and 70361 is 1.

Also check out the Least Common Multiple of 70357 and 70361