What is the Greatest Common Factor of 62000 and 62006?

Greatest common factor (GCF) of 62000 and 62006 is 2.

GCF(62000,62006) = 2

We will now calculate the prime factors of 62000 and 62006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62000 and 62006.

How to find the GCF of 62000 and 62006?

We will first find the prime factorization of 62000 and 62006. After we will calculate the factors of 62000 and 62006 and find the biggest common factor number .

Step-1: Prime Factorization of 62000

Prime factors of 62000 are 2, 5, 31. Prime factorization of 62000 in exponential form is:

62000 = 2⁴ × 5³ × 31¹

Step-2: Prime Factorization of 62006

Prime factors of 62006 are 2, 7, 43, 103. Prime factorization of 62006 in exponential form is:

62006 = 2¹ × 7¹ × 43¹ × 103¹

Step-3: Factors of 62000

List of positive integer factors of 62000 that divides 62000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 40, 50, 62, 80, 100, 124, 125, 155, 200, 248, 250, 310, 400, 496, 500, 620, 775, 1000, 1240, 1550, 2000, 2480, 3100, 3875, 6200, 7750, 12400, 15500, 31000

Step-4: Factors of 62006

List of positive integer factors of 62006 that divides 62000 without a remainder.

1, 2, 7, 14, 43, 86, 103, 206, 301, 602, 721, 1442, 4429, 8858, 31003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62000 and 62006. The biggest common factor number is the GCF number.
So the greatest common factor 62000 and 62006 is 2.

Also check out the Least Common Multiple of 62000 and 62006