What is the Greatest Common Factor of 35546 and 35553?

Greatest common factor (GCF) of 35546 and 35553 is 7.

GCF(35546,35553) = 7

We will now calculate the prime factors of 35546 and 35553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35546 and 35553.

How to find the GCF of 35546 and 35553?

We will first find the prime factorization of 35546 and 35553. After we will calculate the factors of 35546 and 35553 and find the biggest common factor number .

Step-1: Prime Factorization of 35546

Prime factors of 35546 are 2, 7, 2539. Prime factorization of 35546 in exponential form is:

35546 = 2¹ × 7¹ × 2539¹

Step-2: Prime Factorization of 35553

Prime factors of 35553 are 3, 7, 1693. Prime factorization of 35553 in exponential form is:

35553 = 3¹ × 7¹ × 1693¹

Step-3: Factors of 35546

List of positive integer factors of 35546 that divides 35546 without a remainder.

1, 2, 7, 14, 2539, 5078, 17773

Step-4: Factors of 35553

List of positive integer factors of 35553 that divides 35546 without a remainder.

1, 3, 7, 21, 1693, 5079, 11851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35546 and 35553. The biggest common factor number is the GCF number.
So the greatest common factor 35546 and 35553 is 7.

Also check out the Least Common Multiple of 35546 and 35553