What is the Greatest Common Factor of 70049 and 70056?

Greatest common factor (GCF) of 70049 and 70056 is 7.

GCF(70049,70056) = 7

We will now calculate the prime factors of 70049 and 70056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70049 and 70056.

How to find the GCF of 70049 and 70056?

We will first find the prime factorization of 70049 and 70056. After we will calculate the factors of 70049 and 70056 and find the biggest common factor number .

Step-1: Prime Factorization of 70049

Prime factors of 70049 are 7, 10007. Prime factorization of 70049 in exponential form is:

70049 = 7¹ × 10007¹

Step-2: Prime Factorization of 70056

Prime factors of 70056 are 2, 3, 7, 139. Prime factorization of 70056 in exponential form is:

70056 = 2³ × 3² × 7¹ × 139¹

Step-3: Factors of 70049

List of positive integer factors of 70049 that divides 70049 without a remainder.

1, 7, 10007

Step-4: Factors of 70056

List of positive integer factors of 70056 that divides 70049 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 139, 168, 252, 278, 417, 504, 556, 834, 973, 1112, 1251, 1668, 1946, 2502, 2919, 3336, 3892, 5004, 5838, 7784, 8757, 10008, 11676, 17514, 23352, 35028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70049 and 70056. The biggest common factor number is the GCF number.
So the greatest common factor 70049 and 70056 is 7.

Also check out the Least Common Multiple of 70049 and 70056