What is the Greatest Common Factor of 1484 and 1502?
Greatest common factor (GCF) of 1484 and 1502 is 2.
GCF(1484,1502) = 2
We will now calculate the prime factors of 1484 and 1502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1484 and 1502.
How to find the GCF of 1484 and 1502?
We will first find the prime factorization of 1484 and 1502. After we will calculate the factors of 1484 and 1502 and find the biggest common factor number .
Step-1: Prime Factorization of 1484
Prime factors of 1484 are 2, 7, 53. Prime factorization of 1484 in exponential form is:
1484 = 22 × 71 × 531
Step-2: Prime Factorization of 1502
Prime factors of 1502 are 2, 751. Prime factorization of 1502 in exponential form is:
1502 = 21 × 7511
Step-3: Factors of 1484
List of positive integer factors of 1484 that divides 1484 without a remainder.
1, 2, 4, 7, 14, 28, 53, 106, 212, 371, 742
Step-4: Factors of 1502
List of positive integer factors of 1502 that divides 1484 without a remainder.
1, 2, 751
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1484 and 1502. The biggest common factor number is the GCF number.
So the greatest common factor 1484 and 1502 is 2.
Also check out the Least Common Multiple of 1484 and 1502
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