What is the Greatest Common Factor of 1862 and 1869?

Greatest common factor (GCF) of 1862 and 1869 is 7.

GCF(1862,1869) = 7

We will now calculate the prime factors of 1862 and 1869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1862 and 1869.

How to find the GCF of 1862 and 1869?

We will first find the prime factorization of 1862 and 1869. After we will calculate the factors of 1862 and 1869 and find the biggest common factor number .

Step-1: Prime Factorization of 1862

Prime factors of 1862 are 2, 7, 19. Prime factorization of 1862 in exponential form is:

1862 = 2¹ × 7² × 19¹

Step-2: Prime Factorization of 1869

Prime factors of 1869 are 3, 7, 89. Prime factorization of 1869 in exponential form is:

1869 = 3¹ × 7¹ × 89¹

Step-3: Factors of 1862

List of positive integer factors of 1862 that divides 1862 without a remainder.

1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931

Step-4: Factors of 1869

List of positive integer factors of 1869 that divides 1862 without a remainder.

1, 3, 7, 21, 89, 267, 623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1862 and 1869. The biggest common factor number is the GCF number.
So the greatest common factor 1862 and 1869 is 7.

Also check out the Least Common Multiple of 1862 and 1869