What is the Greatest Common Factor of 1953 and 1969?

Greatest common factor (GCF) of 1953 and 1969 is 1.

GCF(1953,1969) = 1

We will now calculate the prime factors of 1953 and 1969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1953 and 1969.

How to find the GCF of 1953 and 1969?

We will first find the prime factorization of 1953 and 1969. After we will calculate the factors of 1953 and 1969 and find the biggest common factor number .

Step-1: Prime Factorization of 1953

Prime factors of 1953 are 3, 7, 31. Prime factorization of 1953 in exponential form is:

1953 = 3² × 7¹ × 31¹

Step-2: Prime Factorization of 1969

Prime factors of 1969 are 11, 179. Prime factorization of 1969 in exponential form is:

1969 = 11¹ × 179¹

Step-3: Factors of 1953

List of positive integer factors of 1953 that divides 1953 without a remainder.

1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651

Step-4: Factors of 1969

List of positive integer factors of 1969 that divides 1953 without a remainder.

1, 11, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1953 and 1969. The biggest common factor number is the GCF number.
So the greatest common factor 1953 and 1969 is 1.

Also check out the Least Common Multiple of 1953 and 1969