What is the Greatest Common Factor of 70432 and 70450?

Greatest common factor (GCF) of 70432 and 70450 is 2.

GCF(70432,70450) = 2

We will now calculate the prime factors of 70432 and 70450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70432 and 70450.

How to find the GCF of 70432 and 70450?

We will first find the prime factorization of 70432 and 70450. After we will calculate the factors of 70432 and 70450 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 70450

Prime factors of 70450 are 2, 5, 1409. Prime factorization of 70450 in exponential form is:

70450 = 2¹ × 5² × 1409¹

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 70450

List of positive integer factors of 70450 that divides 70432 without a remainder.

1, 2, 5, 10, 25, 50, 1409, 2818, 7045, 14090, 35225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70432 and 70450. The biggest common factor number is the GCF number.
So the greatest common factor 70432 and 70450 is 2.

Also check out the Least Common Multiple of 70432 and 70450