What is the Greatest Common Factor of 70923 and 70940?

Greatest common factor (GCF) of 70923 and 70940 is 1.

GCF(70923,70940) = 1

We will now calculate the prime factors of 70923 and 70940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70923 and 70940.

How to find the GCF of 70923 and 70940?

We will first find the prime factorization of 70923 and 70940. After we will calculate the factors of 70923 and 70940 and find the biggest common factor number .

Step-1: Prime Factorization of 70923

Prime factors of 70923 are 3, 47, 503. Prime factorization of 70923 in exponential form is:

70923 = 3¹ × 47¹ × 503¹

Step-2: Prime Factorization of 70940

Prime factors of 70940 are 2, 5, 3547. Prime factorization of 70940 in exponential form is:

70940 = 2² × 5¹ × 3547¹

Step-3: Factors of 70923

List of positive integer factors of 70923 that divides 70923 without a remainder.

1, 3, 47, 141, 503, 1509, 23641

Step-4: Factors of 70940

List of positive integer factors of 70940 that divides 70923 without a remainder.

1, 2, 4, 5, 10, 20, 3547, 7094, 14188, 17735, 35470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70923 and 70940. The biggest common factor number is the GCF number.
So the greatest common factor 70923 and 70940 is 1.

Also check out the Least Common Multiple of 70923 and 70940