What is the Greatest Common Factor of 70432 and 70441?

Greatest common factor (GCF) of 70432 and 70441 is 1.

GCF(70432,70441) = 1

We will now calculate the prime factors of 70432 and 70441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70432 and 70441.

How to find the GCF of 70432 and 70441?

We will first find the prime factorization of 70432 and 70441. After we will calculate the factors of 70432 and 70441 and find the biggest common factor number .

Step-1: Prime Factorization of 70432

Prime factors of 70432 are 2, 31, 71. Prime factorization of 70432 in exponential form is:

70432 = 2⁵ × 31¹ × 71¹

Step-2: Prime Factorization of 70441

Prime factors of 70441 are 7, 29, 347. Prime factorization of 70441 in exponential form is:

70441 = 7¹ × 29¹ × 347¹

Step-3: Factors of 70432

List of positive integer factors of 70432 that divides 70432 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 71, 124, 142, 248, 284, 496, 568, 992, 1136, 2201, 2272, 4402, 8804, 17608, 35216

Step-4: Factors of 70441

List of positive integer factors of 70441 that divides 70432 without a remainder.

1, 7, 29, 203, 347, 2429, 10063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70432 and 70441. The biggest common factor number is the GCF number.
So the greatest common factor 70432 and 70441 is 1.

Also check out the Least Common Multiple of 70432 and 70441