What is the Greatest Common Factor of 70924 and 70943?

Greatest common factor (GCF) of 70924 and 70943 is 1.

GCF(70924,70943) = 1

We will now calculate the prime factors of 70924 and 70943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70924 and 70943.

How to find the GCF of 70924 and 70943?

We will first find the prime factorization of 70924 and 70943. After we will calculate the factors of 70924 and 70943 and find the biggest common factor number .

Step-1: Prime Factorization of 70924

Prime factors of 70924 are 2, 7, 17, 149. Prime factorization of 70924 in exponential form is:

70924 = 2² × 7¹ × 17¹ × 149¹

Step-2: Prime Factorization of 70943

Prime factors of 70943 are 61, 1163. Prime factorization of 70943 in exponential form is:

70943 = 61¹ × 1163¹

Step-3: Factors of 70924

List of positive integer factors of 70924 that divides 70924 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 149, 238, 298, 476, 596, 1043, 2086, 2533, 4172, 5066, 10132, 17731, 35462

Step-4: Factors of 70943

List of positive integer factors of 70943 that divides 70924 without a remainder.

1, 61, 1163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70924 and 70943. The biggest common factor number is the GCF number.
So the greatest common factor 70924 and 70943 is 1.

Also check out the Least Common Multiple of 70924 and 70943