What is the Greatest Common Factor of 70042 and 70050?

Greatest common factor (GCF) of 70042 and 70050 is 2.

GCF(70042,70050) = 2

We will now calculate the prime factors of 70042 and 70050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70042 and 70050.

How to find the GCF of 70042 and 70050?

We will first find the prime factorization of 70042 and 70050. After we will calculate the factors of 70042 and 70050 and find the biggest common factor number .

Step-1: Prime Factorization of 70042

Prime factors of 70042 are 2, 7, 5003. Prime factorization of 70042 in exponential form is:

70042 = 2¹ × 7¹ × 5003¹

Step-2: Prime Factorization of 70050

Prime factors of 70050 are 2, 3, 5, 467. Prime factorization of 70050 in exponential form is:

70050 = 2¹ × 3¹ × 5² × 467¹

Step-3: Factors of 70042

List of positive integer factors of 70042 that divides 70042 without a remainder.

1, 2, 7, 14, 5003, 10006, 35021

Step-4: Factors of 70050

List of positive integer factors of 70050 that divides 70042 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 467, 934, 1401, 2335, 2802, 4670, 7005, 11675, 14010, 23350, 35025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70042 and 70050. The biggest common factor number is the GCF number.
So the greatest common factor 70042 and 70050 is 2.

Also check out the Least Common Multiple of 70042 and 70050